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Constructing Knowledge for Teaching Secondary Mathematics
Teacher education seeks to transform prospective and/or practicing teachers from neophyte possibly uncritical perspectives on teaching and learning to more knowledgeable, adaptable, analytic, insightful, observant, resourceful, reflective and confident professionals ready to address whatever challenges teaching secondary mathematics presents. This transformation occurs optimally through constructive engagement in tasks that foster knowledge for teaching secondary mathematics. Ideally such tasks provide a bridge between theory and practice, and challenge, surprise, disturb, confront, extend, or provoke examination of alternatives, drawn from the context of teaching. We define tasks as the pro...
Analysis of Arithmetic for Mathematics Teaching
This volume emerges from a partnership between the American Federation of Teachers and the Learning Research and Development Center at the University of Pittsburgh. The partnership brought together researchers and expert teachers for intensive dialogue sessions focusing on what each community knows about effective mathematical learning and instruction. The chapters deal with the research on, and conceptual analysis of, specific arithmetic topics (addition, subtraction, multiplication, division, decimals, and fractions) or with overarching themes that pervade the early curriculum and constitute the links with the more advanced topics of mathematics (intuition, number sense, and estimation). Serving as a link between the communities of cognitive researchers and mathematics educators, the book capitalizes on the recent research successes of cognitive science and reviews the literature of the math education community as well.
Mathematics Education in the Middle Grades
In September 1998, the Math Science Education Board National held a Convocation on Middle Grades Mathematics that was co-sponsored by the National Council of Teachers of Mathematics, the National Middle School Association, and the American Educational Research Association. The Convocation was structured to present the teaching of middle school mathematics from two points of view: teaching mathematics with a focus on the subject matter content or teaching mathematics with a focus on the whole child and whole curriculum. This book discusses the challenges before the nation's mathematical sciences community to focus its energy on the improvement of middle grades mathematics education and to begin an ongoing national dialogue on middle grades mathematics education.
Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof
This book aims to advance ongoing debates in the field of mathematics and mathematics education regarding conceptions of argumentation, justification, and proof and the consequences for research and practice when applying particular conceptions of each construct. Through analyses of classroom practice across grade levels using different lenses - particular conceptions of argumentation, justification, and proof - researchers consider the implications of how each conception shapes empirical outcomes. In each section, organized by grade band, authors adopt particular conceptions of argumentation, justification, and proof, and they analyse one data set from each perspective. In addition, each section includes a synthesis chapter from an expert in the field to bring to the fore potential implications, as well as new questions, raised by the analyses. Finally, a culminating section considers the use of each conception across grade bands and data sets.
The Best Writing on Mathematics 2014
Collects essays on mathematics, from the importance of big data and the varying forms of Klein bottles to fountain design and the possible shape of the universe.
Critical Graphicacy
This book explores reading and interpretation practices related to visual materials - here referred to as inscriptions - that accompany texts. Guiding questions include: ‘What practices are required for reading inscriptions?’ and ‘Do textbooks allow students to develop graphicacy skill required to critically read scientific texts?’ The book reveals what it takes to interpret, read, and understand visual materials, and what it takes to engage inscriptions in a critical way.
The Handbook of Mathematics Teacher Education: Volume 4
The Handbook of Mathematics Teacher Education, the first of its kind, addresses the learning of mathematics teachers at all levels of schooling to teach mathematics, and the provision of activity and programmes in which this learning can take place. It consists of four volumes. Volume 4 of this handbook has the title The Mathematics Teacher Educator as a Developing Professional.
6 Tools for Collaborative Mathematics Coaching
In 6 Tools for Collaborative Mathematics Coaching, Nicora Placa lays out a clear path to help you become a trusted and effective math coach. Her “6 Tools” are flexible structures that you and your colleagues can use to learn together: Building Teams: Fostering a Learning Community Student Interviews: Learning to Listen Visiting Classrooms: Developing Your Lens Learning Walks: Focusing the Team on Students’ Thinking Rehearsing Routines: Practicing with Colleagues Lesson Study: Learning Collectively with Voice, Choice, and Agency In this easy-to-use, practical guide, Placa introduces each of the 6 Tools with classroom vignettes, step-by-step guidelines for rollout, connections to the lit...
Handbook of Research on the Psychology of Mathematics Education
This volume is a compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation, 30 years ago. It has been written to become an essential reference for Mathematics Education research in the coming years.
